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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 169338j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169338.r1 | 169338j1 | \([1, 1, 1, -5496, 989607]\) | \(-3803721481/85854366\) | \(-414402626498094\) | \([]\) | \(1290240\) | \(1.4856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169338j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169338j do not have complex multiplication.Modular form 169338.2.a.j
sage: E.q_eigenform(10)